Using the law of cosines, it is found that the distance across the lake is of 978.5 feet.
<h3>What is the law of cosines?</h3>
The law of cosines states that we can find the angle C of a triangle as follows:
in which:
- c is the length of the side opposite to angle C.
- a and b are the lengths of the other sides.
In this problem, the parameters are:
a = 800, b = 900, C = 70º.
Hence the distance across the lake is c, found as follows:
c² = 800² + 900² - 2(800)(900)cos(70º)
c² = 957491
c = 978.5.
The distance across the lake is of 978.5 feet.
More can be learned about the law of cosines at brainly.com/question/2491835
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Answer:
The probability of winning the bet is 1/336
Step-by-step explanation:
We should understand that there is only one possible arrangement of the winning selection
Now, the horse that comes first can be selected in 8 ways given that all the horses have equal chances
The horse that comes second can be selected in 7 ways given that all the horses have equal chances
The horse that comes third can be selected in 6 ways given that all the horses have equal chances
Now the total number of ways of selection would be;
8 * 7 * 6 = 336
Since there is only one of the selections that is correct, the probability of making the correct choice is thus 1/336
Answer:
there is no question for example 2
Step-by-step explanation:
Answer:
,
,
Step-by-step explanation:
In the case of parametric equations, the slope of the curve is equal to:
Where and are the first derivatives of and regarding . Let be and , their first derivatives are found:
and
Thus, equation for the slope is:
If , then:
Tangent is positive at 1st quadrant and is a function with a periodicity of , the set of solutions are:
,
,
Calculator 1: Calculate the percentage of a number.
For example: 27% of 100 = 27
Calculator 2: Calculate a percentage based on 2 numbers.
<span>For example: 27/100 = 27%
Thats for future help. And the Answer is
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<span>= 162.68
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